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Open Quantum Systems Decoherence Quantum Simulation Quantum State Preparation Representation

Lie symmetries, conservation laws, optimal system and power series solutions of time fractional modified KdV–Zakharov–Kuznetsov equation

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Authors: Jicheng Yu, Yuqiang Feng

Year

2024

Paper ID

11597

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

102

Citations

0

Abstract

In this paper, Lie symmetry analysis method is applied to [Formula: see text]-dimensional time fractional modified KdV–Zakharov–Kuznetsov equation. All Lie symmetries and the corresponding conserved vectors for the equation are obtained. The one-dimensional optimal system is utilized to reduce the aimed equation with Riemann–Liouville fractional derivative to a low dimensional fractional partial differential equation with Erdélyi–Kober fractional derivative. Then the power series solution of the reduced equation is given. Moreover, some other low dimensional reduced fractional differential equations with Riemann–Liouville fractional derivative are obtained and can be solved by different methods in the literatures herein.

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  • In this paper, Lie symmetry analysis method is applied to [Formula: see text]-dimensional time fractional modified KdV–Zakharov–Kuznetsov equation.

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References & Citation Signals

[1] DOI https://doi.org/10.1142/s0219025724500188 [2] Publisher https://doi.org/10.1142/s0219025724500188

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External citation index: OpenAlex citation signal • updated 2026-10-29 09:30:15

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